Answer: 81 - 74 = 7
Have a great day!
Original coordinates of the points:
A (8,15) ; B (12,13) ; C (8,10)
Dilated scale factor of 3.
A ⇒ 3x = 3(8) = 24 ; 3y = 3(15) = 45 ⇒ A' (24,45)
B ⇒ 3x = 3(12) = 36 ; 3y = 3(13) = 39 ⇒ B' (36, 39)
C ⇒ 3x = 3(8) = 24 ; 3y = 3(10) = 30 ⇒ C' (24, 30)
The given image forms a right triangle. So, I'll get the short leg and long leg of the right triangle to solve for the hypotenuse, length of CB.
Short leg: y value of B and C
39 - 30 = 9
Long leg: x value of B and C
36 - 24 = 12
a² + b² = c²
9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = √c²
15 = c
The length of CB is 15 units.
<em>Length = </em><em>80</em>
<em>Breadth = </em><em>30</em><em> </em>
<em>Height = </em><em>30</em>
<em>Total surface area of a cuboid is= </em>
<em><u>2 ( lb + bh + hl )</u></em>
<em>Putting the values in the formula,</em>
<em>We get,</em>
<em>= 2</em><em> [</em><em> (80 x 30) + (30 x 30) + (30 x 80)</em><em>]</em>
<em>= 2 (2400 + 900 + 2400)</em>
<em>= </em><em><u>8100 cm²</u></em>
<em></em>
<em>THANK YOU!!</em>
<em>∝ </em><em>Sidhdi</em>
4 + -1 1/3
Turn 4 into an improper fraction.
4/4 is equal to 12/3. We want both 4 and 1 1/3 to have the same denominator so that they could be subtracted from each other.
New question :
12/3 + - 1 1/3
Turn {-1 1/3} into an improper fraction.
(3 × 1) + 1 = 4/3
So, -1 1/3 = -4/3
Our new question :
12/3 + - 4/3
Simplify.
12/3 - 4/3 = 8/3
Turn into a mixed number.
2 2/3
~Hope I helped!~
